The common use of Electrical resistivity methods in Environmental Health Science, i.e. safe water aquifer investigation (saline intrusion, groundwater investigation), pollution mapping, site selection (landfill, structures) etc
This document provides information about an online presentation on the electrical resistivity method in applied geophysics and engineering geology. It includes details about the date, time, presenter, and link to join the Zoom meeting. The bulk of the document then discusses the background and principles of the electrical resistivity method, including different electrode configurations, modes of deployment like vertical electrical sounding and constant separation traversing, and factors that influence electrode selection. Tables provide data on resistivities of common rocks and minerals and geometric factors for different electrode arrays.
Application of vertical electrical sounding and horizontal profiling methods ...Alexander Decker
The document describes a study that used vertical electrical sounding (VES) and horizontal profiling (EP) methods to characterize the subsurface stratification at a proposed dam site on the Segen River in Tigray, Northern Ethiopia. Ten VES points were collected along two profiles, and two EP surveys were conducted along the profiles. The VES and EP results identified weak zones up to 20-30 meters deep at several locations along the profiles, indicating the need for further core drilling investigations to properly evaluate the subsurface conditions for dam construction.
This document discusses survey design and procedures for electrical resistivity surveys. It describes three common modes: 1) Sounding mode, where electrode spacing is varied to map resistivity with depth at fixed locations. 2) Profiling mode, where electrode spacing is fixed and the array is moved laterally to map lateral resistivity variations. 3) Profiling-sounding mode, which combines aspects of profiling and sounding modes. Common electrode arrays like Wenner and Schlumberger are described for each mode. Sounding and profiling modes are suited for mapping vertical and horizontal resistivity contrasts respectively.
This presentation discusses electrical resistivity methods for geophysical surveying. It describes how resistivity utilizes differences in electric potential to image the subsurface. Key concepts covered include Ohm's law, electrode configurations like Wenner and Schlumberger arrays, methods like vertical electrical sounding and electric profiling, and instrumentation used including current sources, resistivity meters, and electrode types. Applications mentioned are groundwater detection, mineral exploration, and waste exploration.
Electrical resistivity and electromagnetic method for detection of water bear...shubham shukla
1) The document discusses electrical resistivity and electromagnetic methods for detecting groundwater zones. It describes how each method works, including the instruments used, field techniques, and types of surveys conducted.
2) Results of surveys done in India show that both methods can identify potential aquifers at depths of 10-100 meters, though electrical resistivity has limitations like equivalence and anisotropy effects. Electromagnetic has issues with noise sensitivity.
3) Both methods have advantages and limitations depending on the geological conditions and budget. The comparative study provides guidance on which method to use in different situations for groundwater exploration.
Seismic Refraction Test
Subsurface investigation by seismic refraction
Seismic Data Analysis
Seismic refraction instrumental set up and operation
P-waves velocity ranges for different strata
This document provides an overview of geophysical methods used for site investigation and laboratory measurements. It discusses various methods including electrical resistivity, seismic methods, electromagnetic conductivity, gravity geophysical methods, and geothermal methods. For each method, it describes how the technique works and how tests are conducted to collect subsurface data on properties like density, conductivity, and elastic moduli. The document aims to explain different geophysical techniques that can be employed to characterize subsurface conditions.
Geophysical well logging uses sensors located in boreholes to measure physical properties of surrounding rocks as a function of depth. Well logs are used to identify geological formations and fluids, correlate between holes, and evaluate reservoir formations. Common logging methods include electrical resistivity, self-potential, nuclear, acoustic, and thermal measurements. The objective is to determine in situ rock and fluid properties, though drilling disturbs the formation. Effective depth of penetration varies between tools and formations. Well logging aims to identify potential reservoirs by determining porosity, permeability, and fluid contents.
This document provides information about an online presentation on the electrical resistivity method in applied geophysics and engineering geology. It includes details about the date, time, presenter, and link to join the Zoom meeting. The bulk of the document then discusses the background and principles of the electrical resistivity method, including different electrode configurations, modes of deployment like vertical electrical sounding and constant separation traversing, and factors that influence electrode selection. Tables provide data on resistivities of common rocks and minerals and geometric factors for different electrode arrays.
Application of vertical electrical sounding and horizontal profiling methods ...Alexander Decker
The document describes a study that used vertical electrical sounding (VES) and horizontal profiling (EP) methods to characterize the subsurface stratification at a proposed dam site on the Segen River in Tigray, Northern Ethiopia. Ten VES points were collected along two profiles, and two EP surveys were conducted along the profiles. The VES and EP results identified weak zones up to 20-30 meters deep at several locations along the profiles, indicating the need for further core drilling investigations to properly evaluate the subsurface conditions for dam construction.
This document discusses survey design and procedures for electrical resistivity surveys. It describes three common modes: 1) Sounding mode, where electrode spacing is varied to map resistivity with depth at fixed locations. 2) Profiling mode, where electrode spacing is fixed and the array is moved laterally to map lateral resistivity variations. 3) Profiling-sounding mode, which combines aspects of profiling and sounding modes. Common electrode arrays like Wenner and Schlumberger are described for each mode. Sounding and profiling modes are suited for mapping vertical and horizontal resistivity contrasts respectively.
This presentation discusses electrical resistivity methods for geophysical surveying. It describes how resistivity utilizes differences in electric potential to image the subsurface. Key concepts covered include Ohm's law, electrode configurations like Wenner and Schlumberger arrays, methods like vertical electrical sounding and electric profiling, and instrumentation used including current sources, resistivity meters, and electrode types. Applications mentioned are groundwater detection, mineral exploration, and waste exploration.
Electrical resistivity and electromagnetic method for detection of water bear...shubham shukla
1) The document discusses electrical resistivity and electromagnetic methods for detecting groundwater zones. It describes how each method works, including the instruments used, field techniques, and types of surveys conducted.
2) Results of surveys done in India show that both methods can identify potential aquifers at depths of 10-100 meters, though electrical resistivity has limitations like equivalence and anisotropy effects. Electromagnetic has issues with noise sensitivity.
3) Both methods have advantages and limitations depending on the geological conditions and budget. The comparative study provides guidance on which method to use in different situations for groundwater exploration.
Seismic Refraction Test
Subsurface investigation by seismic refraction
Seismic Data Analysis
Seismic refraction instrumental set up and operation
P-waves velocity ranges for different strata
This document provides an overview of geophysical methods used for site investigation and laboratory measurements. It discusses various methods including electrical resistivity, seismic methods, electromagnetic conductivity, gravity geophysical methods, and geothermal methods. For each method, it describes how the technique works and how tests are conducted to collect subsurface data on properties like density, conductivity, and elastic moduli. The document aims to explain different geophysical techniques that can be employed to characterize subsurface conditions.
Geophysical well logging uses sensors located in boreholes to measure physical properties of surrounding rocks as a function of depth. Well logs are used to identify geological formations and fluids, correlate between holes, and evaluate reservoir formations. Common logging methods include electrical resistivity, self-potential, nuclear, acoustic, and thermal measurements. The objective is to determine in situ rock and fluid properties, though drilling disturbs the formation. Effective depth of penetration varies between tools and formations. Well logging aims to identify potential reservoirs by determining porosity, permeability, and fluid contents.
This Lecture includes the Resistivity survey, field procedure, application advantage, limitaion, Apparant resistivity, VES (Vertical Electrical Sounding), Resistivity Profiling and IP Survey in brief.
The document discusses the methods for near-surface seismic refraction surveying. It describes typical equipment used including seismographs, sensors, spread cables, and sources. It outlines survey geometry considerations for sensor and source placement. It also details typical recording parameters, the analysis process of picking first breaks and inverting travel time curves, and references additional analysis techniques and software.
Reflecting method of seismic prospectingPramoda Raj
This document provides an overview of seismic prospecting methods. It discusses the different types of seismic waves, including P-waves, S-waves, and surface waves. The seismic reflecting method is described as using controlled seismic sources to generate waves that reflect off underground formations and are detected by sensors at the surface. Reflection seismology can be used to map subsurface geology at various depths for applications like hydrocarbon exploration, engineering surveys, and studying crustal structures. In summary, the document outlines seismic prospecting techniques, focusing on the seismic reflecting method of using controlled sources and detecting reflected waves.
This document discusses geophysical prospecting methods used to study the structure of the earth's crust. It focuses on electrical resistivity methods, including resistivity profiling and resistivity sounding. Resistivity profiling uses constant electrode spacing to investigate lateral variations in soil resistivity along lines or parallel lines. Resistivity sounding varies electrode spacing with readings taken at the same point to determine resistivity variation with depth. Both methods can be used to distinguish soil layers and prospect for resources like ores, sand, and gravel.
The document discusses the electrical resistivity method for geophysical investigations. It begins by defining electrical resistivity and describing how it is measured. Resistivity depends on factors like moisture content and porosity. Common materials and their typical resistivity ranges are provided. The document then describes the principles and applications of two electrical methods - equipotential and resistivity. Key aspects covered include how resistivity is used to interpret subsurface layers and detect anomalies. The document concludes by outlining several applications of electrical resistivity methods like mapping stratigraphy and aquifers.
The document provides information about the self potential (SP) method of geophysical surveying. It discusses the background of SP surveying and its applications in mineral exploration, groundwater mapping, and engineering. It describes the various types of potentials that can generate SP anomalies, including electrokinetic, diffusion, Nernst, mineral, and electrochemical potentials. The document outlines how SP is measured in the field using fixed-base and gradient methods. It also discusses interpreting SP data qualitatively based on anomaly shape, amplitude, and polarity and quantitatively by modeling anomaly sources as simple geometric shapes.
The presentation comprises the Gravity Method, It's anomaly, reduction, and its applications. The Gravity method is commonly used in Geology specifically in Geophysics.
Induced polarization (IP) phenomena were first observed in 1912 by Conrad Schlumberger, where electrically conductive materials exhibited a delayed voltage response after an applied current was switched off. IP parameters respond to disseminated mineral grains and chargeability is measured by sending a pulsating current to create ion exchange between mineral grains and pore fluids. When the current stops, the voltage drops and dissipates gradually over time. IP measurements use similar equipment to resistivity surveys and the two techniques are usually conducted together.
ELECTRICAL METHODS OF GEOPHYSICAL EXPLORATION OF MINERAL DEPOSITS.pptxImposter7
This document discusses various electrical methods used in geophysical exploration of mineral deposits. It describes five main geophysical methods - seismic, gravity, electrical, radioactive, and magnetic. The electrical methods section focuses on self-polarization, equipotential, electromagnetic, resistivity, and induced polarization techniques. Resistivity techniques like Wenner, Schlumberger and dipole-dipole configurations are explained. The document concludes that electrical methods are useful for exploring metallic and sulphide deposits and groundwater, as well as characterizing rock properties.
The document discusses different geophysical methods used for subsurface exploration, including gravity, magnetic, electrical resistivity, and seismic methods. It focuses on explaining the gravity and magnetic methods. Gravity surveys measure differences in the gravitational field to detect variations in subsurface density distributions. Magnetic surveys map variations in the magnetic field caused by changes in magnetic susceptibility or structure of near-surface rocks. Both methods are used to locate features like hydrocarbon deposits, ore bodies, cavities, and buried structures or utilities.
It covers seismic method, gravity method, electromagnetic method, magnetic method and radiometric method. all these methods help in mineral exploration
The document discusses magnetic prospecting, which uses measurements of magnetic field anomalies caused by differences in rock magnetization to locate ore deposits. It describes how the Earth behaves like a large magnet and how instruments like magnetometers can measure variations in the magnetic field. Magnetic prospecting relies on differences between paramagnetic, ferromagnetic, and diamagnetic minerals. It has applications in locating deposits of iron, manganese, and other economically important minerals.
Introduction
Petrophysic of the rocks
It is the study of the physical and chemical properties of the rocks related to the pores and fluid distribution
Porosity, is ratio between volume of void to the total voids of the rock.
Permeability, is ability of a porous material to allow fluids to pass through it.
Electric, most of the sedimentary rocks don’t have conductivity.
Radiation, clay rocks have 40K, radiate alpha ray.
Hardness, it depends on the cementing material and thickness of the sediments.
WELL LOGGING
The systematic recording of rock properties and it’s fluid contents in wells being drilled or produced to obtain various petrophysical parameters and characteristics of down hole sequences (G.E Archie 1950).
The measurement versus depth or time, or both, of one or more physical properties in a well.
These methods are particularly good when surface outcrops are not available, but a direct sample of the rock is needed to be sure of the lithology.
A wide range of physical parameters can be measured.
In some cases, the measurements are not direct, it require interpretation by analogy or by correlating values between two or more logs run in the same hole.
Provide information on lithology, boundaries of formations and stratigraphic correlation.
Determine Porosity, Permeability, water, oil and gas saturation.
Reservoir modeling and Structural studies… etc.
Types of Well Logging
Logs can be classified into several types under different category
Permeability and lithology Logs
Gamma Ray log
Self Potential [SP] log
Caliber log
Porosity Logs
Density log
Sonic log
Neutron log
Electrical Logs
Resistivity Log
For contact : omerupto3@gmail.com
Geological surveys are normally undertaken by private agencies, state government departs of mines and geology, and national geological survey organizations. They maintain the geological inventory of various formations, mineral deposits and resources. They keep all records for the advancement of knowledge of geosciences for the benefit of the nation. Geological mapping are parts of a geological survey. It involves certain procedures. This lesson highlights the methods and procedures of geological mapping.
1. The document summarizes a presentation on magnetic survey methods given on May 21, 2020. It discusses concepts like magnetic susceptibility of rocks, elements that make up Earth's magnetic field like the core and mantle, and how magnetic polarity reversals are recorded in rocks.
2. Key factors that control magnetic susceptibility of rocks are magnetic minerals like olivine and magnetite. Susceptibility can also depend on mineral grain alignment. Magnetic fabrics provide information on rock composition and formation processes.
3. Earth has layers of increasing density, from less dense continental crust to denser mantle and core. The outer core generates convection currents that power the magnetic field, and the inner solid core rotates to produce it.
This document discusses seismic refraction techniques. It begins by explaining the principles of refraction and total refraction. Applications of refraction seismology include oil and gas exploration, geotechnical studies, water prospecting, and landslide studies. It then discusses unfavorable geological settings for refraction seismic work and provides an example refraction data record. The rest of the document outlines equipment, energy sources, data processing techniques like first break picking, travel time analysis, and velocity determination. It also discusses using refraction data to determine bedrock velocity, thickness of geological layers, and rock properties like rippability.
The Lectures describes the Electrical method of Geophysical Prospecting in brief. SP surveying and Occurrence of Self potential and its application is discussed in brief.
Geophysical exploration uses physical methods to measure subsurface properties without sampling. It includes passive methods that measure natural fields like gravity and magnetism, and active methods using artificial sources like seismic surveys. Seismic surveys involve generating seismic waves, including faster P-waves and slower S-waves, from sources like explosions. These waves travel through and reflect off subsurface interfaces to reveal information about geological structures and detect hydrocarbon deposits like oil and gas. Geophysical surveys are a low-cost exploration technique used to find new reserves and guide further exploration activities.
The document discusses the magnetotelluric (MT) method, which uses natural electromagnetic fields generated by solar winds and lightning to infer the conductivity and resistivity distribution of the subsurface. The MT method involves passive surface measurements of the earth's natural EM fields across a wide frequency range to investigate structures at intermediate to deep depths. Key aspects covered include skin effect, which causes exponential attenuation of EM waves with depth; MT data processing in the frequency domain; and 1D and 2D inversion modeling to estimate subsurface resistivity structures from measured impedance data.
Geo Environmental Investigation of Abuad Dumpsite, Southwestern NigeriaIJERA Editor
Geoenvironmental study of ABUAD female dumpsite was conducted to investigate the suitability of its location
and potential impact on groundwater in the environment. Profiling and Vertical electrical sounding methods
were employed using Dipole - Dipole and Schlumberger configuration respectively. Five points were sounded
and one profile was occupied. Three heterogeneous subsurface lithologic units were established namely; lateritic
topsoil, clayey-sand, and, fresh basement. The curve types are simple H and HA. The topsoil and clayey-sand
materials are characterized with relatively low resistivity values while the fresh basement materials are
characterized with high resistivity values. The average resistivity and thickness values for the topsoil are
280.0Ωm and.2.3m respectively. Clayey-sand was encountered in all the locations with average resistivity and
thickness values of 32.0Ωm and 7.3m respectively. Basement is relatively shallow in the study area, it was
encountered in all the locations with an average resistivity and depth values to the top of basement of 674Ωm,
and 9.6m respectively. Overburden materials are relatively thin within the area with an average resistivity and
thickness values of 156Ωm, and 9.6m respectively. The overburden materials constituting the aquiferous units
within the study area are porous, vulnerable, and good paths for leachate migration. The relatively low
resistivity values within the clayey-sand layers (14 - 61Ωm) are suggestive of leachate intrusion, while relatively
high resistivity values of the impervious basement are due to their crystalline nature. The proximity of the
dumpsite to both the cafeteria and residential halls is a cause for concern.
Geohydraulic parameters are essential elements in groundwater resource management and conservation.
Most of these parameters especially the hydraulic conductivity and transmissivity are usually estimated
from pumping test carried out on drilled boreholes. This paper presents a study conducted in Abi area of
the Ikom-Mamfe Embayment with the objective of estimating aquifer parameters from 30 evenly
distributed vertical electrical soundings using the Schlumberger configuration and hydrogeologic
measurements from 28 boreholes within the area as an alternative way of generating an initial data
for groundwater characterisation and quality assessment in the area. The results showed low resistivity
645 Xm, hydraulic conductivity 62.0 105 m/s (61.7 m/day) and transmissivity 65.2 104 m2/s
(645 m2/day) for the water-bearing aquifer horizons in the northeastern and northwestern parts of
the study area due to the nature of the aquifer system that were predominantly fractured shale. The sand
based aquifers had higher values in the neighbourhood of 100–800 Xm, 4.0 105–1.0 104 m/s
(3.46–9.04 m/day) and 6.94 104–3.81 103 m2/s (60–330 m2/day) for the respective parameters
mentioned above. The potability of the groundwater system as observed from hydrogeologic measurements
of water samples from most boreholes were relatively poor, having electrical conductivity
and total dissolved solids values of 250–931.0 lS/cm and 500–623.77 mg/l respectively due to the
influence of clay minerals within the aquifer horizon. Some of the vertical electrical sounding points were
taken in the vicinity were pumping tests and lithologic data were available for adequate comparison of
the results.Electrical resistivity
Geohydraulic parameters
Groundwater
Hydraulic conductivity
Ikom-Mamfe Embayment
Abi-Nigeria
This Lecture includes the Resistivity survey, field procedure, application advantage, limitaion, Apparant resistivity, VES (Vertical Electrical Sounding), Resistivity Profiling and IP Survey in brief.
The document discusses the methods for near-surface seismic refraction surveying. It describes typical equipment used including seismographs, sensors, spread cables, and sources. It outlines survey geometry considerations for sensor and source placement. It also details typical recording parameters, the analysis process of picking first breaks and inverting travel time curves, and references additional analysis techniques and software.
Reflecting method of seismic prospectingPramoda Raj
This document provides an overview of seismic prospecting methods. It discusses the different types of seismic waves, including P-waves, S-waves, and surface waves. The seismic reflecting method is described as using controlled seismic sources to generate waves that reflect off underground formations and are detected by sensors at the surface. Reflection seismology can be used to map subsurface geology at various depths for applications like hydrocarbon exploration, engineering surveys, and studying crustal structures. In summary, the document outlines seismic prospecting techniques, focusing on the seismic reflecting method of using controlled sources and detecting reflected waves.
This document discusses geophysical prospecting methods used to study the structure of the earth's crust. It focuses on electrical resistivity methods, including resistivity profiling and resistivity sounding. Resistivity profiling uses constant electrode spacing to investigate lateral variations in soil resistivity along lines or parallel lines. Resistivity sounding varies electrode spacing with readings taken at the same point to determine resistivity variation with depth. Both methods can be used to distinguish soil layers and prospect for resources like ores, sand, and gravel.
The document discusses the electrical resistivity method for geophysical investigations. It begins by defining electrical resistivity and describing how it is measured. Resistivity depends on factors like moisture content and porosity. Common materials and their typical resistivity ranges are provided. The document then describes the principles and applications of two electrical methods - equipotential and resistivity. Key aspects covered include how resistivity is used to interpret subsurface layers and detect anomalies. The document concludes by outlining several applications of electrical resistivity methods like mapping stratigraphy and aquifers.
The document provides information about the self potential (SP) method of geophysical surveying. It discusses the background of SP surveying and its applications in mineral exploration, groundwater mapping, and engineering. It describes the various types of potentials that can generate SP anomalies, including electrokinetic, diffusion, Nernst, mineral, and electrochemical potentials. The document outlines how SP is measured in the field using fixed-base and gradient methods. It also discusses interpreting SP data qualitatively based on anomaly shape, amplitude, and polarity and quantitatively by modeling anomaly sources as simple geometric shapes.
The presentation comprises the Gravity Method, It's anomaly, reduction, and its applications. The Gravity method is commonly used in Geology specifically in Geophysics.
Induced polarization (IP) phenomena were first observed in 1912 by Conrad Schlumberger, where electrically conductive materials exhibited a delayed voltage response after an applied current was switched off. IP parameters respond to disseminated mineral grains and chargeability is measured by sending a pulsating current to create ion exchange between mineral grains and pore fluids. When the current stops, the voltage drops and dissipates gradually over time. IP measurements use similar equipment to resistivity surveys and the two techniques are usually conducted together.
ELECTRICAL METHODS OF GEOPHYSICAL EXPLORATION OF MINERAL DEPOSITS.pptxImposter7
This document discusses various electrical methods used in geophysical exploration of mineral deposits. It describes five main geophysical methods - seismic, gravity, electrical, radioactive, and magnetic. The electrical methods section focuses on self-polarization, equipotential, electromagnetic, resistivity, and induced polarization techniques. Resistivity techniques like Wenner, Schlumberger and dipole-dipole configurations are explained. The document concludes that electrical methods are useful for exploring metallic and sulphide deposits and groundwater, as well as characterizing rock properties.
The document discusses different geophysical methods used for subsurface exploration, including gravity, magnetic, electrical resistivity, and seismic methods. It focuses on explaining the gravity and magnetic methods. Gravity surveys measure differences in the gravitational field to detect variations in subsurface density distributions. Magnetic surveys map variations in the magnetic field caused by changes in magnetic susceptibility or structure of near-surface rocks. Both methods are used to locate features like hydrocarbon deposits, ore bodies, cavities, and buried structures or utilities.
It covers seismic method, gravity method, electromagnetic method, magnetic method and radiometric method. all these methods help in mineral exploration
The document discusses magnetic prospecting, which uses measurements of magnetic field anomalies caused by differences in rock magnetization to locate ore deposits. It describes how the Earth behaves like a large magnet and how instruments like magnetometers can measure variations in the magnetic field. Magnetic prospecting relies on differences between paramagnetic, ferromagnetic, and diamagnetic minerals. It has applications in locating deposits of iron, manganese, and other economically important minerals.
Introduction
Petrophysic of the rocks
It is the study of the physical and chemical properties of the rocks related to the pores and fluid distribution
Porosity, is ratio between volume of void to the total voids of the rock.
Permeability, is ability of a porous material to allow fluids to pass through it.
Electric, most of the sedimentary rocks don’t have conductivity.
Radiation, clay rocks have 40K, radiate alpha ray.
Hardness, it depends on the cementing material and thickness of the sediments.
WELL LOGGING
The systematic recording of rock properties and it’s fluid contents in wells being drilled or produced to obtain various petrophysical parameters and characteristics of down hole sequences (G.E Archie 1950).
The measurement versus depth or time, or both, of one or more physical properties in a well.
These methods are particularly good when surface outcrops are not available, but a direct sample of the rock is needed to be sure of the lithology.
A wide range of physical parameters can be measured.
In some cases, the measurements are not direct, it require interpretation by analogy or by correlating values between two or more logs run in the same hole.
Provide information on lithology, boundaries of formations and stratigraphic correlation.
Determine Porosity, Permeability, water, oil and gas saturation.
Reservoir modeling and Structural studies… etc.
Types of Well Logging
Logs can be classified into several types under different category
Permeability and lithology Logs
Gamma Ray log
Self Potential [SP] log
Caliber log
Porosity Logs
Density log
Sonic log
Neutron log
Electrical Logs
Resistivity Log
For contact : omerupto3@gmail.com
Geological surveys are normally undertaken by private agencies, state government departs of mines and geology, and national geological survey organizations. They maintain the geological inventory of various formations, mineral deposits and resources. They keep all records for the advancement of knowledge of geosciences for the benefit of the nation. Geological mapping are parts of a geological survey. It involves certain procedures. This lesson highlights the methods and procedures of geological mapping.
1. The document summarizes a presentation on magnetic survey methods given on May 21, 2020. It discusses concepts like magnetic susceptibility of rocks, elements that make up Earth's magnetic field like the core and mantle, and how magnetic polarity reversals are recorded in rocks.
2. Key factors that control magnetic susceptibility of rocks are magnetic minerals like olivine and magnetite. Susceptibility can also depend on mineral grain alignment. Magnetic fabrics provide information on rock composition and formation processes.
3. Earth has layers of increasing density, from less dense continental crust to denser mantle and core. The outer core generates convection currents that power the magnetic field, and the inner solid core rotates to produce it.
This document discusses seismic refraction techniques. It begins by explaining the principles of refraction and total refraction. Applications of refraction seismology include oil and gas exploration, geotechnical studies, water prospecting, and landslide studies. It then discusses unfavorable geological settings for refraction seismic work and provides an example refraction data record. The rest of the document outlines equipment, energy sources, data processing techniques like first break picking, travel time analysis, and velocity determination. It also discusses using refraction data to determine bedrock velocity, thickness of geological layers, and rock properties like rippability.
The Lectures describes the Electrical method of Geophysical Prospecting in brief. SP surveying and Occurrence of Self potential and its application is discussed in brief.
Geophysical exploration uses physical methods to measure subsurface properties without sampling. It includes passive methods that measure natural fields like gravity and magnetism, and active methods using artificial sources like seismic surveys. Seismic surveys involve generating seismic waves, including faster P-waves and slower S-waves, from sources like explosions. These waves travel through and reflect off subsurface interfaces to reveal information about geological structures and detect hydrocarbon deposits like oil and gas. Geophysical surveys are a low-cost exploration technique used to find new reserves and guide further exploration activities.
The document discusses the magnetotelluric (MT) method, which uses natural electromagnetic fields generated by solar winds and lightning to infer the conductivity and resistivity distribution of the subsurface. The MT method involves passive surface measurements of the earth's natural EM fields across a wide frequency range to investigate structures at intermediate to deep depths. Key aspects covered include skin effect, which causes exponential attenuation of EM waves with depth; MT data processing in the frequency domain; and 1D and 2D inversion modeling to estimate subsurface resistivity structures from measured impedance data.
Geo Environmental Investigation of Abuad Dumpsite, Southwestern NigeriaIJERA Editor
Geoenvironmental study of ABUAD female dumpsite was conducted to investigate the suitability of its location
and potential impact on groundwater in the environment. Profiling and Vertical electrical sounding methods
were employed using Dipole - Dipole and Schlumberger configuration respectively. Five points were sounded
and one profile was occupied. Three heterogeneous subsurface lithologic units were established namely; lateritic
topsoil, clayey-sand, and, fresh basement. The curve types are simple H and HA. The topsoil and clayey-sand
materials are characterized with relatively low resistivity values while the fresh basement materials are
characterized with high resistivity values. The average resistivity and thickness values for the topsoil are
280.0Ωm and.2.3m respectively. Clayey-sand was encountered in all the locations with average resistivity and
thickness values of 32.0Ωm and 7.3m respectively. Basement is relatively shallow in the study area, it was
encountered in all the locations with an average resistivity and depth values to the top of basement of 674Ωm,
and 9.6m respectively. Overburden materials are relatively thin within the area with an average resistivity and
thickness values of 156Ωm, and 9.6m respectively. The overburden materials constituting the aquiferous units
within the study area are porous, vulnerable, and good paths for leachate migration. The relatively low
resistivity values within the clayey-sand layers (14 - 61Ωm) are suggestive of leachate intrusion, while relatively
high resistivity values of the impervious basement are due to their crystalline nature. The proximity of the
dumpsite to both the cafeteria and residential halls is a cause for concern.
Geohydraulic parameters are essential elements in groundwater resource management and conservation.
Most of these parameters especially the hydraulic conductivity and transmissivity are usually estimated
from pumping test carried out on drilled boreholes. This paper presents a study conducted in Abi area of
the Ikom-Mamfe Embayment with the objective of estimating aquifer parameters from 30 evenly
distributed vertical electrical soundings using the Schlumberger configuration and hydrogeologic
measurements from 28 boreholes within the area as an alternative way of generating an initial data
for groundwater characterisation and quality assessment in the area. The results showed low resistivity
645 Xm, hydraulic conductivity 62.0 105 m/s (61.7 m/day) and transmissivity 65.2 104 m2/s
(645 m2/day) for the water-bearing aquifer horizons in the northeastern and northwestern parts of
the study area due to the nature of the aquifer system that were predominantly fractured shale. The sand
based aquifers had higher values in the neighbourhood of 100–800 Xm, 4.0 105–1.0 104 m/s
(3.46–9.04 m/day) and 6.94 104–3.81 103 m2/s (60–330 m2/day) for the respective parameters
mentioned above. The potability of the groundwater system as observed from hydrogeologic measurements
of water samples from most boreholes were relatively poor, having electrical conductivity
and total dissolved solids values of 250–931.0 lS/cm and 500–623.77 mg/l respectively due to the
influence of clay minerals within the aquifer horizon. Some of the vertical electrical sounding points were
taken in the vicinity were pumping tests and lithologic data were available for adequate comparison of
the results.Electrical resistivity
Geohydraulic parameters
Groundwater
Hydraulic conductivity
Ikom-Mamfe Embayment
Abi-Nigeria
Groundwater research and development potential in auchi polytechnic philipa i...Alexander Decker
This document summarizes a study on groundwater research and development potential at Auchi Polytechnic campus in Nigeria. It conducted geophysical surveys including vertical electrical soundings to characterize the subsurface geology and hydrogeology. The resistivity data obtained was interpreted to identify geo-electric parameters and hydrogeological features like potential water-bearing zones. Based on the geophysical and geological findings, the study recommended mobilizing a drilling rig to the site for groundwater exploration and development through borehole drilling to provide a sustainable water source for the campus community.
The study uses electromagnetic and vertical electrical sounding surveys to investigate the geology and hydrogeophysical features of the Abu Zabad area in Western Kordofan State, Sudan. The surveys identified two main aquifer formations from the Precambrian basement - the weathering formation and fractures formation. Interpretation of the survey data revealed four geo-electric layers but generally two distinct lithologic layers: a superficial deposit layer and a bedrock-basement layer. Aquifer thicknesses in the area range from 20 to 30 meters. The techniques were found to be suitable for identifying potential borehole locations in the basement rock region.
The document discusses a geo-electrical imaging survey conducted in Edo State, Nigeria to characterize the subsurface geology for environmental and engineering studies. Resistivity data was collected along four lines using the Wenner array and inverted to produce 2D resistivity images. The images indicate resistivity increases with depth and identify three main layers - alluvium deposits from 0-20m underlain by laterite to 20m thick, underlain by sandstone and shale. Areas over 3500 ohm-m represent bedrock of gravel and granite, showing the area is suitable for construction. The study found no evidence of contamination or faults, but low conductivity suggests limited aquifer potential for water supply.
Geoelectrical and Hydrochemical Assessment of Groundwater for Potability in E...Premier Publishers
Geoelectrical and hydrochemical investigations were carried in order to determine the potentials and quality of groundwater in Ebonyi North, Southeastern Nigeria. These methods were also selected to determine their economy and accuracy compared to seismic method. Fifteen (15) vertical electric sounding (VES) survey were conducted using the Schlumberger configuration in order to evaluate the character of the aquifers in the studied locations while twelve (12) groundwater samples were collected from boreholes for hydrochemical analysis. Geoelectric sections derived from modelling of the VES data with the interpex IX1D software reveal 3 to 5 subsurface layers. The lithologic succession comprises of topsoil, lateritic clay, partially weathered, weathered and fractured Asu River shale. The weathered and fractured layers constituted the productive water bearing or aquiferous zones of good groundwater potentials. Hydrochemical analysis of groundwater samples reveals that the pH range from 7.8 to 8.8, electrical conductivity from 10.0 to 1754.00 μS/cm, total dissolved solid from 10.0 to 786.0 mg/l and total hardness from 14.0 to 271.0 mg/l. The analytical results present the concentration of the ions in the following order: Mg > Ca > Na > K and Cl > SO4 >HCO3> NO3 > CO3. Piper trilinear diagram reveals only one water type, with Ca and Cl as the major dominant ions. The major ions concentrations are within recommended standard for drinking, hence the groundwater from the area is suitable for drinking and domestic purposes.
Application of Electrical Resistivity Tomography for Soil Competence Study in...IIJSRJournal
This study was carried out to determine soil competence around University of Benin Teaching Hospital and its environs using electrical resistivity tomography method. The Wenner Schlumberger Array Profiling method was used to give information of the subsurface resistivity. The result of the study showed that in ERT 1, highly competent soil were observed with resistivity values between 725Ωm and greater than 6546Ωm, which means that the area is underlain by clay sand at the top and sand/laterite/bedrock at the bottom. ERT 2 is characterized by highly competent soils with high resistivity values between 899Ωm to greater than 7851 Ωm, which indicates that the soil is underlain by sand/laterite/bedrocks. Furthermore, ERT 3 is group as highly competent soils, with resistivity values between762Ωm and greater than 6980 Ωm; this shows that the profile 3 is underlain by sand/laterite/bed rock. The study shows that though most part of the area contains soils that are competent, because of the presence of clay which on most occasion in the Niger Delta are expandable, detailed Geophysical and Civil engineering studies should be carried out before the erection of high rising engineering structures such as network masts, buildings and water tanks within the study area.
Integrated Geophysical and Geotechnical Evaluation of Foundation Failure in P...inventionjournals
Geophysical and geotechnical methods have been integrated with the aim of assessing characteristics of sub-surface layers to identify why structures in some parts of Ikere-Ekiti Southwestern Nigeria are failing or sinking as a result of foundation failure. Eight (8) vertical electrical sounding (VES) were carried out using resistivity meter and six (6) pits were dug to a depth of 1.2m. Six disturbed soil samples were collected from the six dug pits for the study. These samples were subjected to geotechnical tests in the laboratory, which include moisture content, shear test, Atterberg limit and grain size analysis. The acquired VES data were processed and interpreted using partial curve matching technique. The results of the all the mall the eight VES produced H curves. This curve type manifested three layers which are composed of sandy-clay, clayeysand/weathered basement and weathered basement/rock head. The depth o rockhead ranges from 12.1 to 43.2m. VES stations four and five have deeper depth to rock head (i.e. 21.3 to 43.2m) while other locations have lesser depth to rockhead (i.e.1 12.1m to 17.5m). The second layer has the lowest resistivity values meaning that it is somewhat conductive owing to clayey sand deposition and weathered area. Geotechnical test shows that the soils in the study area generally has high moisture content, low plasticity, and from grain size distribution, high concentrations of silt and clay. From the result, it is established that the layer in which the foundations are built upon are rated as poor to fairly competent. This might be as a result of poor drainage system characterised the study area which brought about the local deposition of the supposed subsoil. Therefore, high moisture content made the subsoil to lose its competency thereby causing the structures in the study area to subside
The document introduces a new educational program being developed by the Society of Exploration Geophysicists to provide conceptual and cross-disciplinary learning to enable effective collaboration in earth science teams, and provides contact information for the project leader to provide feedback. Copyright information is also provided indicating the materials are freely available under license for non-commercial use.
In India around 147 million hectares (Mha) of land is under degradation, this includes 94 Mha from water erosion, 16 Mha from acidification, 14 Mha from flooding, 9 Mha from wind erosion, 6 Mha from salinity, and 7 Mha from a combination of factors. Even though The total land area of India is just 2.4% of the world’s land area , it ranks second in the world in farming. Agriculture employs almost 50% of the total workforce in India. So there is an increased need for monitoring and researching the various facets of land degradation. Electrokinetics is defined as the physicochemical transport of charge, action of charged particles and effects of applied electric potentials on formation and fluid transport in porous media. The utilization of electrokinetic in geotechnical engineering for dewatering, consolidation and stabilization of low permeability and to transport certain chemical species in an electrolyte system had opened new opportunities for application in geo environmental engineering. Approaching anode is one of the enhancement techniques in electrokinetic soil remediation. This technique is reported to give promising migration for heavy metals under shorter treatment time and at lower cost in comparison to normal fixed anode system. In the present study, the effectiveness of fixed anode and approaching anode techniques in electrokinetic soil remediation for lead migration under different types of wetting agents (0.01M NaNO3 and 0.1M citric acid) was investigated. Key Words: Acidification , Failure, Land Degradation, Electrokinetics
ASSESMENT OF FAULT ACTIVITY a mineralogical perspective_RadwanOmar Radwan
This document outlines a term paper on assessing fault activity from a mineralogical perspective. It discusses electron paramagnetic resonance (EPR) dating of faults. EPR dating measures radiation-induced paramagnetic centers in minerals to determine the accumulated radiation dose over time. This can date fault movements by dating minerals crushed during faulting or precipitated in fault zones. The document presents a case study of the Eupchon Fault in South Korea, where EPR dating of fault rocks indicates reactivation approximately 2000, 1300, 900-1100, 700-800, and 500-600 thousand years ago, showing it is potentially active with seismic hazards.
The impact of coloured filters on the performance of polycrystalline photovo...IJECEIAES
Photovoltaic modules behave extraordinarily by transforming part of the visible spectrum into electrical energy, and their efficiencies are affected by the nature of radiation (light) reaching them. When light strikes a photovoltaic cell, this light may go through the cell without been absorbed if it is too energetic or if the light possesses low energy it will be absorbed by the cell and cause the electrons to twist and vibrate in their bonds without dislodging them, hence causing the cell to heat up which ultimately leads to a decrease in its overall efficiency. This study is aimed to investigate how photovoltaics respond to different wavelengths of light. For the study to achieve its aim, colour filters were used to ensure that only a particular wavelength of light reaches the photovoltaic module at a time. In the process of collecting data from the solar panel, the solar panel was placed horizontally flat on a platform one meter above sea level facing the sun. Data was first obtained from the solar panel without the filters and after that with the filters placed one at a time and data collected accordingly. The amount of solar power and solar flux anytime a different colour filter was placed on the solar panel were measured. Among the coloured filter used yellow produced the highest efficiency, while blue produced the least efficiency. However, the solar panel was still more efficient when exposed to the natural spectrum.
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
Mapping of Aquifer Contamination Using Geoelectric Methods at a Municipal Sol...iosrjce
This document summarizes a study that used geoelectric methods to map aquifer contamination from a municipal solid waste disposal site in Warri, Nigeria. Fourteen vertical electrical soundings and two-dimensional resistivity imaging were conducted across the dumpsite area. The results identified four subsurface layers and revealed low resistivity zones beneath the dumpsite, indicating contamination from leachate. Hydrogeochemical analysis confirmed elevated levels of contaminants in groundwater, showing the aquifer is being impacted by the dumpsite. The study demonstrated that geoelectric methods can effectively map dumpsite-induced groundwater contamination.
TWO DIMENSIONAL ELECTRICAL RESISTIVITY IMAGING SURVEY FOR LITHOSTRATIGRAPHIC....Onahikechukwu1
This document provides an introduction and outline for a study on using two-dimensional electrical resistivity imaging to classify lithology in the subsurface of Ujemen, Nigeria. It discusses how electrical resistivity tomography can produce high-resolution images of subsurface layers. The methodology section describes how resistivity is measured using different electrode configurations based on Ohm's law. Previous related works that used electrical resistivity to investigate geology and groundwater in Nigeria are also summarized.
1-D Electrical Resistivity Survey For Groundwater In Ketu-Adie Owe, Ogun Stat...iosrjce
This research involved the use of 1-D electrical resistivity survey method for groundwater
investigation in Ketu-Adie Owe, Ogun State. Seven (7) vertical electrical resistivity soundings (VES) using
Schlumberger array were carried out at different locations. The Schlumberger resistivity soundings were
executed with half-spacing in the range of 1.00 – 100.00 metres. The curve types are AAK, AAK, KHAK, AKQ,
KQH, AK. The study shows that viable aquifer is within 17.30 – 52.90 metres square.
The International Journal of Engineering and Science (The IJES)theijes
The International Journal of Engineering & Science is aimed at providing a platform for researchers, engineers, scientists, or educators to publish their original research results, to exchange new ideas, to disseminate information in innovative designs, engineering experiences and technological skills. It is also the Journal's objective to promote engineering and technology education. All papers submitted to the Journal will be blind peer-reviewed. Only original articles will be published.
The papers for publication in The International Journal of Engineering& Science are selected through rigorous peer reviews to ensure originality, timeliness, relevance, and readability
In order to solve the water scarcity problem in South Malang, East Java,
Indonesia, we have attempted to investigate groundwater by assessing the subsurface
geology and groundwater potential zones. An attempt had been made to identify the
subsurface lithology and aquifer zones by VES (Vertical Electrical Sounding) method
in Pagak, Kepanjen, Kromengan and Gondanglegi district. The study area consists of
major subsurface litho units like sand, silt, clay, tuff, limestone and andesit. In order
to explore the groundwater resources of the study area with an aerial extent of 100
km2, electrical soundings have been conducted by adopting Schlumberger technique
in 12 locations with AB/2 200 m and 5 resistivity profiles were acquired. The field
data were interpreted and processed qualitatively and quantitatively by using
computer software. Considering the geological, geomorphology and hydrogeological
conditions the VES interpretation was done. The study has shown that the region is
underlain by 5 geoelectric layers within the depth penetrated. The groundwater
potential in South Malang reveals four distinct classes (zones) representing ‘Very
good’, ‘good’, ‘moderate’ and ‘poor’ groundwater potential in the area. From the
interpretation result the VES no. 7 (Pagak), and VES no. 9 (Kepanjen) are found to be
prospective for groundwater. It’s also identified that Groundwater occurs under
water table conditions the depth of water table ranges from 5 to 30 m.
Geo-electric Investigation of the Cause of Structural Failure Indices on a Se...iosrjce
Electrical resistivity imaging has been employed to investigate the causes of structural failure related
cracks on a set of administrative buildings in southwestern Nigeria. The goals were to determine the
distribution of subsurface geologic lithologies beneath the set of buildings and therefrom infer the relative
strengths of such lithologies. Data were collected along four geo-electric traverses using the ABEM1000
Terrameter unit. The dipole-dipole array was utilized with an electrode separation of 5 m. Observed field data
were processed and inverted using a 2.5D finite-element modeling inversion algorithm. Results indicate that the
northeastern half of the site is underlain by unweathered basement rocks overlain by thin (generally < 4 m) soil
cover, while the southwestern region is dominated at depths beyond 4 m by low-resistivity water-saturated clays
and some weathering tills. The clays apparently receive abundant supply of water from a seasonal stream
channel adjacent to the westerly administrative blocks. The block presenting with the most damage has been
built out over the edge of the shallow basement rocks onto these less competent water-saturated clays in the
southeastern region resulting in cantilever-style differential settling. A second damaged block is situated
entirely on low resistivity water-saturated clays. Differential settling on this block is likely related to the
difference in thicknesses of the clays between sites of the north and south facing walls of the structure. Beneath
the northern wall, the clays are thinner and could be expected to compress less than at the southern wall.
Though uncalibrated to core or log data, the results allowed a first insight into possible causes of structural
failure on the buildings and it is hoped that palliative measures will benefit from these results.
This document discusses various geophysical investigation techniques used to study groundwater resources, with a focus on electrical resistivity and seismic refraction methods. It provides background on why geophysical methods are important for groundwater exploration, noting that they can quickly investigate large areas and provide multipurpose inferences. The electrical resistivity method is explained in detail, including how it works, electrode configurations like Wenner and Schlumberger, and profiling versus sounding approaches. Seismic refraction techniques are also introduced. In conclusion, a variety of geophysical techniques can provide useful information about groundwater occurrence and quality from surface or above-surface locations.
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Electrical resistivity a geophysical method and its applications in environmental health science
1. ELECTRICAL RESISTIVITY : A
GEOPHYSICAL METHOD AND ITS
APPLICATIONS IN ENVIRONMENTAL
HEALTH SCIENCE.
By
Oluwaseun Emmanuel ODIPE
+2348138032921
odipe@yahoo.com
Kwara State University, Malete
1
2. Presentation outline
• Introduction
• Principles of Practice
• Challenges and Limitations
• Applications of Electrical Resistivity in
Environmental Health Science
• Conclusion and Recommendation
2
3. Introduction
• Geophysics
– “Geo” – “Earth”, and
– “Physics” – “the branch of science concerned with the
study of properties and interaction of space, time,
matter and energy”.
Geophysics is the scientific study of the earth utilizing the
properties and interaction of these specific properties
measuring its characteristics and noticing the variation in
those characteristics in space, time and energy.
3
4. Introduction
• Aim: to discuss the Electrical Resistivity
Geophysical method and its applications in
Environmental Health Science.
The specific objectives includes to:
– discuss geophysics and highlight various methods of
practice with generic uses;
– analyze the electrical resistivity method, its theories,
principles, electronic configuration techniques and its
major challenges; and
– the applications of this principles and techniques in
environmental health sciences.
4
5. Introduction
• Some Benefits of Geophysics
– Non-destructive
– Efficiency
– Comprehensiveness
– Cost-effective
– Proven
5
8. Electrical Resistivity Method
• Field procedures and Arrays of investigation
– Wenner
– Schlumberger
– Dipole-Dipole
– Pole-Dipole e.t.c.
8
9. • Results are presented as models
– 1-D Geo-electric section
– 2-D Pseudosection
– Iso-resistivity contour maps
9
10. Challenges of Electrical Method
• Limited detection to strata and water.
• Site specific geology
• Cultural interference.
• Requires technicalities and geological know-
how
• Poor electrical contact with the ground.
10
11. Application of ER in EHS
• Common areas of application include
– Water:
• Groundwater Investigation
• Saline water Intrusion
– Contamination mapping
• Leachate plume mapping
• Non-aqueous phase Liquid
– Landfill construction (Site selection)
– Engineering investigations
• Structural failure
11
13. Pollution mapping : Leachate migration
13
DUMPSITE
V1 V2 V3 V4
Figure 2: 2-D Resistivity pseudosection revealing the leachate migration
pattern from Apollo market waste dumpsite, Ile-Ife. Source : Odipe et al.
14. Saline Water intrusion mapping
14
Figure 3: Iso-resistivity map showing saline water intrusion into fresh water in
Oniru. Source: Adeoti et al. (2010)
15. Proposed Landfill Site Investigation
15
Figure 4: Iso-resistivity map and geoelectric section to determine the
suitability for landfill construction in Ibadan. Source: Oyediran and Adeyemi
(2011)
16. Groundwater contamination from sewage pond
16
Figure 5: Iso-resistivity map revealing the migration pattern of leechate
from sewage pond at Ile-Ife. Source: Adepelumi et al. (2001)
18. • OTHER MAJOR APPLICATIONS IN EHS
– Non-Aqueous Phase Liquids plume mapping
– Environmental Impact Assessment
• FUTURE OF RESISTIVITY
– Biogeophysics
18
19. Conclusion and Recommendation
• ER application in EHS can never over
emphasized due to its benefit, convenience
and costs.
• Hence, basic science laws and principles amd
its applications in EHSs’ should be researched
19
20. REFERENCES
• Abiola O., Ogunribido T. H. T., Omoniyi B. A., Ikuepamitan O. (2013).
Geoelectric Assessment of Groundwater Prospects in Supare Estate,
Supare Akoko, Southwestern, Nigeria. Geosciences. 3(1): 23-33 .DOI:
10.5923/j.geo.20130301.03
• Adeoti L., Alile O. M. and Uchegbulam O. (2010). Geophysical
investigation of saline water intrusion into freshwater aquifers: A case
study of Oniru, Lagos State. Scientific Research and Essays Vol. 5 (3), pp.
248-259
• Adepelumi A. A., Ako B. D, Ajayi T. R. (2001). Groundwater contamination
in the basement-complex area of Ile-Ife, southwestern Nigeria: A case
study using the electrical-resistivity geophysical method. Hydrogeology
Journal 9:611–622 DOI 10.1007/s10040-001-0160-x
• Fatoba J. O., Salami B. M., and Adesida A. (2013). Structural failure
investigation using electrical resistivity method: A case study of Amafor
Ihuokpala, Enugu, Southeastern Nigeria. Journal of Geology and Mining
Research: Vol. 5(8), pp. 208-215, August, 2013
20
21. REFERENCES (contd.)
• Marescot L. (2014). Electrical surveying Part I:
Resistivity method Lecture A. Swiss Federal
Institute of Technology,Zurich
• Oyediran I. A., Adeyemi G. O. (2011). Use of
Geophysical Methods in Landfill Site
Investigation: A Case Study of Ibadan,
Southwestern Nigeria. New York Science
Journal, 2011;4(10)
21